Question

A bacterium divides after every $35$ min. If a culture containing ${10}^5$ cells per ml is grown, then cell concentration per ml after $175$ min. will be

• A. $175\times {10}^5$
• B. $125\times {10}^5$
• C. $48\times {10}^5$
• D. $32\times {10}^5$

Answer 1

Answer: (D)

$32\times {10}^5$

Bacterial growth is assumed to be exponential and can be calculated by 2${}^n$. Here, n = number of generations.

A number of generations from 35 minutes to 175 minutes will be 5. Hence,2*2*2*2*2= 32 and initial population was ${10}^5$. Hence, the answer should be 32 X ${10}^5$.

So, the correct answer is option D.